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Finding the Third Proportional to 111,985,533.75 and 232,910,427.75

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Solution

The third proportional to 111,985,533.75 and 232,910,427.75 is: 484,413,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,533.75 : 232,910,427.75 = 232,910,427.75 : x
  2. Step 2: Convert to fraction form
    111,985,533.75/232,910,427.75 = 232,910,427.75/x
  3. Step 3: Cross multiply
    111,985,533.75x = 232,910,427.75 × 232,910,427.75
  4. Step 4: Simplify right side
    111,985,533.75x = 54,247,267,354,687,968
  5. Step 5: Solve for x
    x = 54,247,267,354,687,968/111,985,533.75
  6. Step 6: Final answer
    x = 484,413,169.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.